Digital PSAT Math Practice Question 41: Answer and Explanation

Question: 41

The function y = 6x3 + 19x2 - 24x + c has zeros at the values of , and -4. What is the value of the constant c in this function?

  • A. -16
  • B. -9
  • C. 2
  • D. 14

Correct Answer: A

Explanation:

(A) Plug in one of the zeros for x and plug in the number 0 for y since a zero intersects the x-axis. Remember that the y-value must be 0 for an x-intercept since that indicates where the function intersects the x-axis. Use this to solve for the constant c. Use -4 as that x-value so that you do not have to calculate with fractions:

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